In teaching the science of the nano world, ball-and-stick molecular models are frequently used as 3D representations of molecules. Unlike a chemical formula, a molecular model allows us to visualise the 3D shape of the molecule and the relative positions of its atoms, the bonds between atoms and why a pair of mirror isomers with the same atoms,…

This note presents demonstrations of quadratic expressions that come about when particular problems are posed with respect to matchsticks that form regular triangles, squares, pentagons and so on. Usually when such "matchstick" problems are used as ways to foster algebraic thinking, the expressions for the number of matchstick quantities are…

Having a disability can be one of the most marginalizing factors in a child's life. In education, finding ways to meet the learning needs of children with disabilities can be challenging, especially in schools, districts, regions, and countries with severely limited resources. Inclusive education--which fully engages all children in quality…

This paper offers an account of what early mathematics education could look like in an age of young digital natives. Each "Tubby," as the tablets are called, presents Nicole (our generic little child) with stimulating mathematics microworlds, from which, beginning at age 3, she can learn basic math concepts, as well as methods of…

This study summarizes the results of a survey administered to 48 elementary schools in the largest school district in a southeastern U.S. state, conducted by university faculty to evaluate the use of SMART Boards and hands-on experiences, the objectives of which were to identify preparedness of elementary classroom teachers in teaching elementary…

This study aims to investigate the effects of using Dynamic Geometry Software (DGS) Cabri II Plus and physical manipulatives on the transformational geometry achievement of candidate teachers. In this study, the semi-experimental method was used, consisting of two experimental and one control groups. The samples of this study were 117 students. A…

Students with high incidence disabilities (i.e., specific learning disabilities, emotional disturbance, intellectual disability, etc.) exhibit impairments in the areas of attention, memory, perception, processing linguistic information, and reasoning that affects their ability to learn. Hence, the ability to design and deliver explicit, enhanced…

Several years ago, the author noticed that her students were having trouble understanding the formal definitions for convergence of sequences, continuity of functions, and uniform convergence of functions. To her students, these definitions were just a bunch of symbols with little to no meaning. She drew diagrams, but students had trouble seeing…

In this article we present an activity theory based framework that can capture the complex situations that arise when modern technology like multi-touch devices are introduced in classroom situations. As these devices are able to cover more activities than traditional technologies, even computerbased, media, we have to accept that they now take a…

When applied to mathematics education, manipulatives help students to visualize mathematical concepts and apply them to everyday situations. Interest in mathematics instruction has increased dramatically over the past two decades with the introduction of virtual manipulatives, as opposed to the concrete manipulatives that have been employed for…

This article discusses the creative, educational, and musical growth that comes from manipulating pieces of a music game. The importance of child-centered play is discussed, with a focus on children using icons to change the melodic and word order of a song. They then "read" the icons to sing their new creation. The music manipulatives are the…

The aim of this study was to determine whether Van Hiele's 5 phase-based tangrams activities could help to foster creativity among Grade Three primary school students. Students' creativity was investigated in terms of Torrance's Figural Test of creative thinking: Fluency, Originality, Elaboration, Abstractness of title, and Resistance to a…

Previous studies on the effects of virtual and physical manipulatives have failed to consider the impact of prior knowledge on the efficacy of manipulatives. This study focuses on the learning of plane geometry in junior high schools, including the sum of interior angles in polygons, the sum of exterior angles in polygons, and the properties of…

In this paper the authors wish to examine kinesthetic forms of learning involving the body and the physical realm. The authors look at two particular techniques; using Legos to build metaphorical models and living the physical experience of metaphors in the shape of labyrinth-walking and its attendant activities. The authors begin by discussing…

Promoting independence in all students is one important part of education. It can be difficult for educators to identify meaningful tasks that students with severe disabilities can complete with full independence. By incorporating visual supports into a student's independent work, the teacher is providing the student with an opportunity to…